If `f: R to R and g: R to R ` be two functions defined as `f(x)=x^(2) and g(x)=5x` where ` x in R ` , then prove that (fog)(2) `ne` (gof) (2).

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

If f: R->R and g: R->R be functions defined by f(x)=x^2+1 and g(x)=sinx , then find fog and gof .

If f: R to R and g: R to R be two functions defined as f(x)=2x+1 and g(x)=x^(2)-2 respectively , then find (gof) (x) and (fog) (x) and show that (fog) (x) ne (gof) (x).

If f: R to R and g: R to R be two functions defined as f(x)=2x+1 and g(x)=x^(2)-2 respectively , then find (gof) (x) and (fog) (x) and show that (fog) (x) ne (gof) (x).

Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x)=1-x^2 . Write fog\ (-2) .

Let f: R->R , g: R->R be two functions defined by f(x)=x^2+x+1 and g(x)=1-x^2 . Write fog\ (-2) .

Let f,g:R rarr R be two functions defined as f(x)=|x|+x and g(x)=|x|-x, for all x in R. Then find fog and gof.

Let f ,g: R rarr R be two functions defined as f(x) = |x| +x and g(x) = |x| -x AA x in R. Then find fog and gof .

If f,g:R rarr R be two functions defined as f(x)=|x|+x and g(x)=|x|-x. Find fog and gof.Hence find fog(-3), fog (5) and gof(-2).